Use our free GCF of Fractions Calculator tool to compute the GCF of 2886/359, 2652/6099 i.e 78/2189541 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2886/359, 2652/6099.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2886/359,2652/6099
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2886/359,2652/6099, numerators are 2886,2652
Denominators are 359,6099
The GCF of 2886,2652 is 78 .
LCM of 359,6099 is 2189541.
The greatest common factor of 2886/359,2652/6099 = [GCF of 2886,2652]/[LCM of 359,6099]= 78/2189541
Therefore, the GCF of 2886/359,2652/6099 is 78/2189541.
To find the highest common factor of 2886,2652, we have to find the factors of both numbers and list the highest common factor.
The factors of 2886 are 1, 2, 3, 6, 13, 26, 37, 39, 74, 78, 111, 222, 481, 962, 1443, 2886
The factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652
The HCF of 2886,2652 is 78.
Lets's calculate GCF of 2886,2652
2 | 2886, 2652 |
3 | 1443, 1326 |
13 | 481, 442 |
37, 34 |
∴ So the GCF of the given numbers is 2 x 3 x 13 = 78
Now, list down the factors of 2886
:1,2,3,6,13,26,37,39,74,78,111,222,481,962,1443,2886
Now, list down the factors of 2652
:1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652
Greatest Common Factor
We found the factors 2886,2652 . The biggest common factor number is the GCF number.
So the greatest common factor 2886,2652 is 78.
Lets's calculate LCM of 359,6099
Given numbers has no common factors except 1. So, there LCM is their product i.e 2189541
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/2189541
Therefore, the GCF of Fractions 2886/359,2652/6099 is 78/2189541
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 359,6099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,6099) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,6099) x common factors =1 x 1 = 1
LCM(359,6099) = ( 359 × 6099 ) / 1
LCM(359,6099) = 2189541 / 1
LCM(359,6099) = 2189541
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2886,2652?
The HCF of 2886,2652 is 78
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2886/359, 2652/6099?
Answer: GCF of Numerators as per given numbers 2886/359, 2652/6099 is
GCF of Numerators i.e. for 2886,2652 is 78
LCM of denominators i.e. for 359,6099 is 2189541.
Thus, GCF of Fractions is 78/2189541.Finally, GCF of Fractions for 2886/359, 2652/6099 is 78/2189541.